Curriculum Vitae ANNA R. GHAZARYAN

Transcription

1 Curriculum Vitae ANNA R. GHAZARYAN Department of Mathematics, Miami University Bachelor Hall, Oxford, OH Office Phone: (513) , website: EDUCATION: 2005 Ph.D. in Mathematics Ohio State University, Columbus, OH; 1996 M.S. in Earthquake Engineering American University of Armenia, Yerevan, Armenia 1994 M.S. (Candidate of Sciences) in Mathematics Yerevan State University, Yerevan, Armenia 1990 B.S. in Mathematics Yerevan State University, Yerevan, Armenia WORK EXPERIENCE: August present: Department of Mathematics, Miami University, Oxford, OH Assistant Professor August June 2011: Department of Mathematics, University of Kansas, Lawrence, KS Adjunct Assistant Research Professor August August 2010: Department of Mathematics, University of Kansas, Lawrence, KS Robert D. Adams Visiting Assistant Professor August August 2008: Department of Mathematics, University of North Carolina, Chapel Hill, NC Postdoctoral Research Fellow August January 2006: Department of Mathematics, North Carolina State University, Raleigh, NC Visiting Lecturer September July 2005: Department of Mathematics, Ohio State University, Columbus, OH Sole Instructor & Teaching Associate Research Associate: Summers 2002, 2003, 2004, Fall under NSF grant of B. Sandstede September August 1997: Engineering Research Center, Yerevan, Armenia Research Associate September June 1996: Department of Mathematics, Yerevan State University, Armenia Teaching Instructor & Junior Researcher GRADUATE STUDENTS ADVISED: Son Van, Master s degree in Mathematics, Master s final project, Peter McLarnan, Master s degree in Mathematics, Master s final project, UNDERGRADUATE RESEARCH: Faculty advisor for Miami University Undergraduate Research Awards (Spring 2015): Team: Changrui Liu and Stephen Colegate. Project Title: Mathematical Models for the Dynamics of Tobacco and Alcohol Use. 1

2 Team: Robert Doughty and Eli Thompson. Project Title: Analysis of the Dynamics of Malaria Transmission. Undergraduate Student Publications: Teng Zhang, Son Van. A study of a debt-influenced equilibrium of the Keen model. Submitted to Pi Mu Epsilon Journal. GRANTS AND AWARDS: Grants and Awards for over $30,000: NSF Research Grant DMS $105, On three different manifestations of instability of fronts in parabolic and partially parabolic systems. Collaboration Grant for Mathematicians from Simons Foundation $35,000. Duration 09/1/ /31/2017 (relinquished in 2013 due to incompatibility with the NSF award). Project title: Traveling waves in nonlinear coupled systems. NSF Research Grant DMS $63, Traveling Fronts with Unstable Continuous Spectrum: Geometric Structure and Nonlinear Stability Properties. Grants and Awards for under $30,000: NSF Travel Grant to attend Oberwolfach Workshop on Dynamics of Patterns, Oberwolfach, Germany, 12/16-12/22, 2012, $450. CELTUA Grant: Major Teaching Project for Departments/Programs. Title: Enhancing teaching and learning in MTH245: Differential Equations for Engineers, Miami University, NSF Travel Grant to attend the conference on Symmetries of Differential Equations: Frames, Invariants and Applications, Minneapolis, MN, May 17-20, Dean s Award, School of Arts and Sciences, Miami University - Summer 2012 Faculty Research Grant, Miami University - Summer 2011 Research Assistantship for a Master s Student that includes paid tuition and a stipend for Academic Year 2011/2012 NSF Travel Grant to attend the 1st PRIMA Congress, Sydney, Australia, July AWM Travel Grant to attend SIAM Annual Meeting, San Diego, CA AWM Travel Grant to attend the workshop Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik, Berkeley, CA, AWM Travel Grant to attend SIAM Annual Meeting, New Orleans, LA, AWM Travel Grant to attend the workshop Career Options for Women in Mathematical Sciences, Minneapolis, MN, Special Graduate Assignment (awarded on a competitive basis), Department of Mathematics, Ohio State University, Columbus, OH, Spring Academic Fellowship, Department of Mathematics, Ohio State University, Summer 2002 and AWM Travel Grant to attend the Career Workshop Connecting Women in Mathematical Sciences to Industry, Minneapolis, MN,

3 Scholarship, Galouste Gulbenkian Foundation, PROFESSIONAL SERVICE Chair of AWM Mentor Network Committee, Aug present. Reappointed in 2012 and Co-chair of AWM Mentor Network Committee, Nov Aug IMA NSF Review Panel, invited as a representative of IMA community, Sep Reviewer for Physica D: Nonlinear Phenomena; SIAM Journal on Dynamical Systems; Nonlinearity; SIAM Journal on Applied Mathematics; Journal of Differential Equations; SIAM Journal on Mathematical Analysis; Nonlinear Analysis: Theory, Methods & Applications; Applied Mathematical Modelling; Journal of Nonlinear Science; AMS Mathematical Reviews; Electronic Journal of Qualitative Theory of Differential Equations; Zentralblatt MATH. Organizer (co-organizer) of mini symposia and conferences: 1. Co-organizer of the minisymposium Nonlinear Waves in Coupled Systems - Part I - II at the SIAM conference on Dynamical Systems, Snowbird, Utah, May 17-21, Co-organizer of the minisymposium on Geometric Techniques in the Analysis of Traveling Waves, the Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, April 1-4, Co-organizer of the minisymposium on Spectral and Geometric Methods in Stability of Waves and Patterns: Parts I-V, SIAM Conference on Nonlinear Waves and Coherent Structures, Cambridge, UK, Aug , Co-organizer of the minisymposium on Traveling Waves and Patterns: Parts I-IV, The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain, July 7-11, Co-organizer of the minisymposium Existence and Stability of Traveling Wave Solutions at the SIAM conference on Dynamical Systems, Snowbird, Utah, Co-organizer of the special session on Nonlinear Waves and Patterns at AMS Central Fall Section Meeting, University of Akron, Akron, OH, October 20-21, Co-organizer of the special session on Mathematical Models for Upwelling Ocean Currents and Related Phenomena at the 9th AIMS conference on Dynamical Systems, Differential Equations and Applications, Orlando, FL, July 1-5, Co-organizer of the minisymposium Existence and Stability of Nonlinear Waves in Coupled Systems: Parts I, II, III, SIAM Conference on Applications of Dynamical Systems, 2011, Snowbird, UT. 9. Co-organizer of the minisymposium Recent Developments in Analysis of Traveling Waves: Theory and Applications - Parts I and II, SIAM Conference on Nonlinear Waves and Coherent Structures, 2010, Philadelphia, PA. 10. Co-organizer of the minisymposium Stability of Traveling Waves, Parts I, II, III, IV, Joint SIAM/RSME-SCM-SEMA Meeting on Emerging Topics in Dynamical Systems and Partial Differential Equations, Barcelona, Spain, Organizer of the minisymposium Traveling Waves in Engineering Applications, SIAM Conference on Nonlinear Waves and Coherent Structures, Rome, Italy, July Co-organizer of the conference The Geometry and Analysis of Dynamical Systems, North Carolina State University, Raleigh, NC, Feb. 2008, Co-organizer of the minisymposium Existence, Uniqueness and Stability of Combustion Wavefronts, SIAM Conference on Application of Dynamical Systems, Snowbird, UT, May Organizer of the minisymposium Various Aspects of the Stability of Traveling Waves, SIAM Conference on Nonlinear Waves and Coherent Structures, Seattle, WA, Sep

4 15. Co-organizer of the minisymposium Geometric Singular Perturbation Theory and Wave Phenomena, SIAM Conference on Analysis of Partial Differential Equations, Boston, MA, July PUBLICATIONS: 1. A. Ghazaryan, S. Lafortune, V. Manukian. Stability of front solutions in a model for a surfactant driven flow. Physica D: Nonlinear Phenomena, 307 (1), 2015, A. Ghazaryan, S. Lafortune, P. McLarnan. Stability analysis for combustion fronts traveling in hydraulically resistant porous media. SIAM J. on Applied Mathematics. 75 (3), 2015, A. Ghazaryan, V. Manukian. Coherent structures in a model for mussel-algae interaction. SIAM J. on Dynamical Systems. 14 (2), 2015, A. Ghazaryan, V. Manukian, S. Schecter. Traveling waves in Holling-Tanner model with diffusion. Proceedings of the Royal Society of London A A. Ghazaryan, Y. Latushkin, S. Schecter. Stability of traveling waves in partly parabolic systems. Mathematical Modeling of Natural Phenomena. 8 (5), 2013, A. Ghazaryan, S. Schecter, P. Simon. Gasless combustion fronts with heat loss. SIAM J. on Applied Mathematics, 73 (3), 2013, A. Ghazaryan, J. Humpherys, J. Lytle. Spectral behavior of combustion fronts with high exothermicity. SIAM J. on Applied Mathematics, 73 (1), 2013, A. Ghazaryan, C. K. R. T. Jones. On the existence of high Lewis number combustion fronts. J. of Mathematics and Computers in Simulation: On Nonlinear Waves: Computation and Theory, 82 (2012) A. Ghazaryan, Y. Latushkin, S. Schecter. Stability of traveling waves for degenerate systems of reaction-diffusion equations. Indiana Univ. Math. J. 60 (2011) A. Ghazaryan, Y. Latushkin, S. Schecter. Stability of traveling waves for a class of reaction-diffusion systems that arise in chemical reaction models. SIAM J. Math. Anal. 42 (2010) A. Ghazaryan, Y. Latushkin, S. Schecter, A. J. De Souza. Stability of traveling waves in a model for gasless combustion. Archive for Rational Mechanics and Analysis 198 (2010) A. Ghazaryan, P. Gordon, A. Virodov. Stability of fronts and transient behavior in KPP systems. Proc. Royal Society A 466 (2010), no. 2118, M. Beck, A. Ghazaryan, B. Sandstede. Nonlinear convective stability of traveling fronts near Turing and Hopf instabilities. J. of Differential Equations 246 (2009) A. Ghazaryan. Nonlinear stability of high Lewis number combustion fronts. Indiana University Math. J. 58 (2009) A. Ghazaryan, C. K. R. T. Jones. On the stability of high Lewis number combustion fronts. Discrete and Continuous Dynamical Systems 24 (2009) A. Ghazaryan. On the convective nature of instability of a front undergoing a supercritical Turing bifurcation. J. of Mathematics and Computers in Simulation: On Nonlinear Waves: Computation and Theory 80 (2009) A. Ghazaryan, P. Gordon. The KPP type flame fronts in porous media. Nonlinearity 21 (2008) A. Ghazaryan, P. Gordon, C. K. R. T. Jones. Traveling waves in porous media combustion: uniqueness of waves for small thermal diffusivity. J. of Dynamics and Differential Equations 19 (2007)

5 19. A. Ghazaryan, B. Sandstede. Nonlinear convective instability of Turing-unstable fronts near onset: A case study. SIAM Journal on Applied Dynamical Systems 6 (2007) A. R. Kazaryan (Ghazaryan), I. Khachatryan. The structure of the scattering matrix for a differential operator of order n. In Russian, Doklady Akad. Nauk Armenii 96 (1996) A. R. Kazaryan (Ghazaryan), I. Khachatryan. The inverse scattering problem for high order operators with summable coefficients, II. J. Contemp. Math. Anal. 30 (1995) A. R. Kazaryan (Ghazaryan), I. Khachatryan. The inverse scattering problem for high order operators with summable coefficients, I. J. Contemp. Math. Anal. 29 (1994) S. Bekhiri, A. R. Kazaryan (Ghazaryan), I. Khachatryan. Reconstruction of a regular two-term operator of even order by its spectrum. In Russian, Yerevan State Univ. Press, Uchenye Zapiski 2 (1994) S. Bekhiri, A. R. Kazaryan (Ghazaryan), I. Khachatryan. Asymptotic formula for the eigenvalues of regular binomial operators of even order. In Russian, Yerevan State Univ. Press, Uchenye Zapiski 1 (1994) OTHER PUBLICATIONS: 1. PhD Thesis: Nonlinear convective instability of fronts: A case study. Adviser: Prof. B. Sandstede. num=osu , PRESENTATIONS AT CONFERENCES, WORKSHOPS AND SEMINARS: 1. Equadiff-2015, Lyon, France, July 6-10, SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, May 17-21, KUMU PDE, Dynamical Systems and Applications, University of Kansas, Lawrence, Kansas, April 18-19, The Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, April 1-4, AMS Spring Southeastern Sectional Meeting, University of Alabama in Huntsville, Huntsville, AL, March 27-29, AMS Central Spring Sectional Meeting, Michigan State University, East Lansing, MI, March 14-15, SIAM Conference on Nonlinear Waves and Coherent Structures, Cambridge, UK, Aug , The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Madrid, Spain, July 7-11, Workshop on Stability of Solitary Waves, Pisa, Italy, May 26-30, Colloquium, Cincinnati University, Department of Mathematical Sciences, Apr. 17, SIAM Conference on Analysis of Partial Differential Equations, Orlando, Fl, Dec. 7-10, Stochastic Adaptive Control/Interdisciplinary Research Seminar & AWM Student Chapter Meeting, University of Kansas, Lawrence, KS, April 22, Colloquium, Department of Mathematics, College of Charleston, April 3-6, The 8th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, GA, Mar , PDE and Applied Mathematics Seminar, University of Akron, Mar. 5-7,

6 16. Oberwolfach Workshop on Dynamics of Patterns, Oberwolfach, Germany, Dec , Seminar at the Department of Mathematics, University of Minnesota. Oct. 29, AMS Central Fall Section Meeting, University of Akron, Akron, OH, October 20-21, SUMSRI (Summer Undergraduate Mathematics Research Institute) Colloquium, Miami University, The 9th AIMS conference on Dynamical Systems, Differential Equations and Applications, July 1-5, 2012, Orlando, Fl. (Two different talks.) 21. AMS Spring Central Section Meeting, Lawrence, KS, March 30-April 1, Colloquium at the Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI, Oct Workshop on Localized Multi-Dimensional Patterns in Dissipative Systems: Theory, Modeling, and Experiments, Banff International Research Station for Mathematical Innovation and Discovery, Banff, Canada, July SIAM Conference on Applications of Dynamical Systems, Snowbird, UT, May th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, GA, SIAM Conference on Nonlinear Waves and Coherent Structures, Philadelphia, PA, Aug Joint SIAM/RSME-SCM-SEMA Meeting on Emerging Topics in Dynamical Systems and Partial Differential Equations, Barcelona, Spain, th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Dresden University of Technology, Dresden, Germany, (Two different talks.) 29. Differential Equations Seminar, University of Missouri, Oct Seminar on Stochastic Analysis and Control, University of Kansas, Lawrence, KS, Oct Stochastic PDE Seminar, Brigham Young University, Provo, UT, Sep st Pacific Rim Mathematical Association (PRIMA) Congress, Sydney, Australia, July SIAM Conference on Application of Dynamical Systems, Snowbird, Utah, May th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, GA, March AMS Southeastern Section Meeting, Huntsville, AL, Oct SIAM Conference on Nonlinear Waves and Coherent Structures, Rome, Italy, July AWM Workshop at SIAM Annual Meeting, San Diego, CA, July SIAM Annual Meeting, San Diego, CA, July Colloquium, Department of Mathematics, University of Alabama, Huntsville, AL, Feb Conference on the Geometry and Analysis of Dynamical Systems, North Carolina State University, Raleigh, NC, Feb SIAM Conference on Analysis of Partial Differential Equations, Mesa, AZ, Dec Differential Equation Seminar, North Carolina State University, Oct International Conference on Dynamical Methods and Mathematical Modeling, Valladolid, Spain,

7 44. Equadiff 07, Vienna, Austria, Aug SIAM Conference on Application of Dynamical Systems, Snowbird, Utah, May Postdoctoral seminar, Mathematical Science Research Institute, Berkeley, CA, May th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, GA, Apr Nonlinear convective instability of fronts. 48. Seminar, University of Kansas, Lawrence, KS, Apr. 11, South Eastern Atlantic Mathematical Sciences Workshop, Charleston, SC, Sep SIAM Conference on Nonlinear Waves and Coherent Structures, Seattle, WA, Sep SIAM Conference on Analysis of Partial Differential Equations, Boston, MA, July AMS Spring Central Sectional Meeting, Notre Dame, IN, Apr AWM Workshop, SIAM Annual Meeting, New Orleans, LA, July Applied Mathematics Seminar, Ohio State University, Columbus, OH, Oct Poster Presentations SIAM conference on Dynamical Systems, Snowbird, Utah, May Dynamical Systems in Studies of Partial Differential Equations, University of Minnesota, Minneapolis, MN, Sep , Conference on Symmetries of Differential Equations: Frames, Invariants and Applications, Minneapolis, MN, May 17-19, Frontiers in Applied and Computational Mathematics, Newark, NJ, May 2008 and May 2006 Women in Mathematics: The Legacy of Ladyzhenskaya and Oleinik, Berkeley, CA, May South Eastern Atlantic Mathematical Sciences Workshop, Chapel Hill, NC, Sept US - Japan Workshop on Dynamics and Computations, Shonan, Japan, March Conferences Attended 40 Years and Counting: AWM s Celebration of Women in Mathematics, Brown University, Sept., SIAM Conference on Application of Dynamical Systems, Snowbird, UT, May 2005 and May 2003 PROFESSIONAL TRAINING AND EXPERIENCES: Oberwolfach Workshop on Dynamics of Patterns, Oberwolfach, Germany, Dec , Workshop on using COMSOL (nonlinear PDE solver), University of Minnesota, Dec. 6, Workshop: Lattice and Nonlocal Dynamical Systems and Applications, Dec. 3-7, Workshop: Random Dynamical Systems, Oct , 2012 Workshop: Dynamical Systems in Studies of Partial Differential Equations, Sep , Tutorial: Infinite-Dimensional Dynamical Systems and Random Dynamical Systems, Sep.17-21, Workshop on Localized Multi-Dimensional Patterns in Dissipative Systems: Theory, Modeling, and Experiments, Banff International Research Station for Mathematical Innovation and Discovery, Banff, Canada, July 24 -July 29,

8 Workshop on Ocean Ecologies and Their Physical Habitats in a Changing Climate, Mathematical Biosciences Institute, Columbus, OH, June 20 - July 1, Workshop on Multidimensional Localized Structures, University of Rome, Rome, Italy, July 18-19, 2008 Workshop on Stability of Nonlinear Waves, University of Washington, Seattle, WA, Sep. 6-8, 2006 Workshop on Stability Criteria for Multi-Dimensional Waves and Patterns, American Institute of Mathematics, Palo Alto, CA, May 16-20, 2005 Workshop on Career Options for Women in Mathematical Sciences, Institute for Mathematics and its Applications, Minneapolis, MN, Feb. 4-5, 2005 Semester-long VIGRE seminar series on Professional Development, Ohio State University, Columbus, OH, Spring 2003 Semester-long VIGRE working group on Fluid Mechanics and Turbulence, Ohio State University, Columbus, OH, Winter 2003 Career Workshop: Connecting Women in Mathematical Sciences to Industry, Institute for Mathematics and its Applications, Minneapolis, MN, Sep. 8-10, 2000 Semester-long seminar series on Teaching College Mathematics for International Students, Ohio State University, Columbus, OH, Summer 1998 Semester-long seminar series on Cooperative Learning Techniques, Ohio State University, Columbus, OH, Summer 1998 COLLABORATIVE VISITS College of Charleston, Charleston, SC, April 3-6, 2013, host: S. Lafortune. University of Akron, Akron, OH, Mar. 5-7, 2013, host: P. Gordon. Long term visiting researcher, Sep.10 - Dec.10, 2012, IMA Annual Program Infinite Dimensional and Stochastic Dynamical Systems and their Applications, Minneapolis, MN. Marquette University, Milwaukee, WI, Oct. 2011, host: S. Scott University of Missouri, Columbia, MO, Oct. 2009, host: Yu. Latushkin Brigham Young University, Provo, Utah, Sep. 2009, host: J. Humpherys New Jersey Institute of Technology,Newark, NJ, May 2008, host: P. Gordon University of Surrey, Guildford, Surrey, UK, Nov. 2007, host: B. Sandstede University of Warwick, Coventry, UK, Nov. 2007, host: C. K. R. T. Jones MSRI, Berkeley, CA, May 2007, collaboration with C. K. R. T. Jones, S. Schecter, Y. Latushkin New Jersey Institute of Technology, Newark, NJ, May 2006, host: P. Gordon MEMBERSHIPS: American Mathematical Society (AMS) Society for Industrial and Applied Mathematics (SIAM) Association for Women in Mathematics (AWM) Phi Beta Delta Honor Society for International Scholars LANGUAGES: Armenian (native), English (fluent), Russian (fluent), French (elementary level) 8